WASHINGTON – Congress approved a plan to end Washington’s long drama over the fiscal cliff late Tuesday after enough House Republicans surrendered to President Obama’s demand to let taxes rise on the nation’s richest households.

The House voted 257 to 167 to send the measure to the White House; the vote came less than 24 hours after the Senate overwhelmingly approved the legislation.

Additional Photos

Speaker of the House John Boehner, R-Ohio, center right, and House Majority Leader Eric Cantor, R-Va., center left, head for a Republican conference meeting to discuss the "fiscal cliff" bill Monday in Washington. ASSOCIATED PRESS

President Barack Obama and Vice President Joe Biden make a statement regarding the passage of the fiscal cliff bill in the Brady Press Briefing Room at the White House Tuesday. The Associated Press

House Speaker John Boehner of Ohio and most other top Republican leaders took no public position on the measure and offered no public comment before the vote at 10:45. He declined even to deliver his usual closing argument, leaving House Ways and Means Committee Chairman Dave Camp, R-Mich., to defend the measure as the “largest tax cut in American history.”

The bill would indeed shield millions of middle-class taxpayers from tax increases set to take effect this month. But it also would let rates rise on wages and investment profits for households pulling in more than $450,000 a year, marking the first time in more than two decades that a broad tax increase has been approved with Republican support.

The measure also would keep benefits flowing to 2 million unemployed workers on the verge of losing their federal checks. And it would delay for two months automatic cuts to the Pentagon and other agencies that had been set to take effect Wednesday.

Many economists had warned that the scheduled tax increases and spending cuts would have plunged the economy back into recession.

Conservatives complained bitterly that the bill would raise taxes without making any significant cuts in government spending. For much of the day, the measure appeared headed for defeat as Boehner contemplated tacking on billions in spending cuts, a move that would have derailed a compromise that the White House and Senate leaders had carefully crafted.

In the end, Republican lawmakers decided not to take a gamble that could force the nation to face historic tax increases for virtually every American — and leave House Republicans to take the blame.

“I don’t know if playing chicken with the American people at this point is in the best interest of the people,” said freshman Rep. Lou Barletta, R-Pa.

The bill drew 85 votes from Republicans and 172 from Democrats, meaning well more than half of its support came from the Democratic minority.

With 151 Republicans voting “no,” the Republican tally fell far short of a majority of the party’s caucus. That broke a long-standing preference by Boehner to advance only bills that could draw the support of a majority of his Republican members.

In a sign of the moment’s gravity, Boehner himself cast a rare vote: He supported the bill. So did Rep. Paul Ryan of Wisconsin, the Republican vice presidential candidate this year, who parted ways from Sen. Marco Rubio, R-Fla., a potential 2016 presidential contender, who voted against the measure.

But other top Republican leaders voted no, including Majority Leader Eric Cantor of Virginia and Whip Kevin McCarthy of California.

Boehner was humiliated just two weeks ago when the Republican rank-and-file refused to support a Republican alternative that would have permitted taxes to rise only on income over $1 million a year. But when he scheduled a vote on the Senate bill, even some of the chamber’s staunchest conservatives agreed that giving up the fight was probably the best course.

“I think the best outcome is to have a clean bill, actually put it on the floor and see what the consensus of the House is,” said Rep. Raul Labrador, R-Idaho, a freshman who has opposed every major bipartisan compromise on the budget over the past two years and said he would vote against the measure.

If approved by the House, the bill would proceed to the White House for Obama’s signature. It calls for the top tax rate to rise immediately from 35 percent to 39.6 percent on income over $450,000 for married couples and $400,000 for single people.

The measure would protect more than 100 million families earning less than $250,000 a year from significant income tax increases set to take effect this month — although their payroll taxes will rise with the expiration of a temporary tax cut adopted two years ago.

In addition to avoiding much of the fiscal cliff, the measure would extend federal dairy policies through September, averting a threatened doubling of milk prices. The measure also would cancel a scheduled pay raise for members of Congress.

After weeks of partisan bickering over whether taxes should increase for anyone, the compromise bill rolled through the Senate early Tuesday in a highly unusual New Year’s Day vote. The vote was 89 to 8, with both parties offering overwhelming support.

The moment served as a rare bipartisan coda to what has been one of the most rancorous, partisan Congresses in recent history. The 11 senators who are retiring received hugs and kisses from their colleagues. The current Congress ends at noon Thursday, when the new Congress will be seated, and lawmakers would have been forced to scrap the fiscal cliff legislation and start over.

Three Democrats voted against the measure: Tom Harkin of Iowa, Thomas Carper of Delaware and Michael Bennet of Colorado.

Bennet complained that the bill would do little to reduce record budget deficits. According to the nonpartisan Congressional Budget Office, the measure would cause the national debt to be $4 trillion higher by 2022 than if all of the cliff’s tax increases and spending cuts had been allowed to take effect.

Five Senate Republicans also rejected the measure, including tea party favorites Rand Paul of Kentucky, Mike Lee of Utah and Rubio.

But 40 others voted for it, including such Republican leaders on tax-and-spending policy as Sen. Patrick Toomey of Pennsylvania and Ronald Johnson of Wisconsin, a tea party star who frequently consults with House conservatives.

Neither party was entirely happy with the bill. While conservatives complained about new taxes and a lack of spending reductions, liberals complained about its provisions regarding inherited estates.

Although the tax rate would rise from 35 percent to 40 percent, estates worth as much as $5 million — $10 million for married couples — would go untaxed. And an inflation adjustment would guarantee that the size of the exemption would grow to $15 million for couples by the end of the decade.

Still, House Democrats largely embraced the measure, which was negotiated by Vice President Joe Biden and Senate Minority Leader Mitch McConnell, R-Ky., and endorsed by Obama. After receiving a point-by-point 90-minute briefing from Biden on Tuesday, Democrats rallied around the package.

“It’s long overdue for us to have this solution to go forward and remove all doubt as to what comes next for our country,” said House Minority Leader Nancy Pelosi, D-Calif.

Hours later, Pelosi indicated via Twitter that a “strong majority” of Democrats supported the legislation and that she was “confident” it would pass if Boehner held a vote.

But it was a different story among House Republicans, who at first appeared to strongly oppose it. In the early afternoon, Republicans gathered for the first of two lengthy closed-door briefings in the basement of the Capitol.

There, Boehner told members that he wanted to hear their views but would not take a position. Cantor, meanwhile, “forcefully” aired concerns that the measure would raise taxes but not cut spending, said Rep. Jeff Flake, R-Ariz. Afterward, Cantor emerged and told reporters: “I do not support the bill.”

That view was widespread in the room, where House members vented their frustrations at the Senate for foisting the arrangement upon them. Many rose to say they should take advantage of the legislative process, tack on billions in new spending reductions and force the Senate to respond.

“We should not take a package put together by a bunch of sleep-deprived octogenarians on New Year’s Eve,” retiring Rep. Steven LaTourette, R-Ohio, said in a dig at Senate leaders. LaTourette, who has championed ambitious deficit-reduction efforts, faced the prospect of casting his last vote in Congress for a measure that would sharply deepen deficits.

Rep. Spencer Bachus, R-Ala., said a consensus was developing that Republican should amend the Senate’s plan. “I would be shocked if the bill did not go back to the Senate,” he said.

The negative reaction threatened to plunge Washington back into the high-stakes, last-minute drama that has characterized both the fiscal cliff negotiations and a series of other recent confrontations between the two parties over spending and taxes, including the fight over raising the federal borrowing limit in the summer of 2011.

Senate Democrats and administration officials warned that the Senate would reject any move to amend the measure. The House would be responsible for a dive over the cliff hours before U.S. financial markets were set to open Wednesday after the New Year’s holiday.

For hours, there was no decision on how to proceed. As leaders huddled, rank-and-file members returned to their offices and were greeted with confusing messages from conservatives and constituents.

Former House speaker Newt Gingrich, R-Ga., who has opposed any deal to raise taxes, voiced support for Cantor. But conservative writer William Kristol — who is close to Ryan, chairman of the House Budget Committee — wrote a blog post titled “Say Yes to the Mess.”

“Politically, Republicans are escaping with a better outcome than they might have expected, and President Obama has gotten relatively little at his moment of greatest strength,” Kristol said, advising House Republicans to take the deal.

Shortly before dinner, Republicans gathered behind closed doors again to settle on a new plan: Leaders would survey members about the spending-cut package to determine if it could pass. If not, they would allow the Senate bill to move ahead.

Around 8 p.m. EST, they announced a decision. The Senate bill would receive a vote, with the expectation that Democrats and Republicans would join forces to approve the measure.

During floor debate, Camp said Republican members should support the bill because it would make “permanent tax policies (that) Republicans originally crafted” under President George W. Bush.

Rep. Sander Levin of Michigan, the ranking Democrat on the Ways and Means Committee, countered that Democrats should back the bill because it would let the Bush tax cuts expire for the wealthy, breaking the “iron barrier” to tax increases since 1993.

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